Question

Mark the correct alternative in the following question:

$$\begin{gathered} 2x^2\times 3x{y}^2\times 4x^3{y}^5\mathrm{is}\mathrm{equal}\mathrm{to} \\ \left(\mathrm{a}\right)24x^6{y}^6\left(\mathrm{b}\right)24x^6{y}^7\left(\mathrm{c}\right)24x^7{y}^6\left(\mathrm{d}\right)24x^7{y}^7 \end{gathered}$$

Answer 1

As,

$$\begin{gathered} 2x^2\times 3x{y}^2\times 4x^3{y}^5 \\ =\left(2\times 3\times 4\right)\times \left(x^2\times x\times x^3\right)\times \left(y^2\times y^5\right) \\ =24x^6{y}^7 \end{gathered}$$

Hence, the correct alternative is option (b).